We theoretically analyze the Bell’s inequalities by continuously monitoring a system comprising two-coupled superconducting qubits. The weak probing could measure the observables accurately after sufficient runs. While for the strong measurement, due to the measurement backaction, the system will collapse to the basis state corresponding to the eigenvalue measured with a higher probability. Interestingly, for system in the maximal two-qubit entanglement state, the measurement backaction from strong probe could be compensated by a parity measurement. Under the imperfect detection, a correction term could help yield a result which is compatible with the correct value of the observables. Furthermore, we investigate the Bell’s inequalities during the dynamical evolution of the coupled two-qubit system and demonstrate that the more the two-qubit entangle, the larger violation of Bell’s inequality will present with the upper bound \(2\sqrt{2}\).

从理论上讲，我们通过连续监视包含两耦合超导量子位的系统来分析贝尔的不等式。足够的运行后，弱探测可能会准确地测量可观测物。对于强测量，由于测量的反向作用，系统将崩溃到与以较高概率测量的特征值相对应的基本状态。有趣的是，对于处于最大两量子位纠缠状态的系统，可以通过奇偶校验来补偿强探头的测量反作用。在不完善的检测下，校正项可以帮助产生与可观测值的正确值兼容的结果。此外，\（2 \ sqrt {2} \）。